Question 1079766
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The answer is THIS:

<pre>
      at x = 2, the value of x + c must be positive.
</pre>

In other words, 2+c must be positive: 2+c > 0,  


which implies c > -2.



{{{graph( 330, 330, -3.5, 6.5, -3.5, 5.5,
          2*abs(2x-4), x - 1.5
)}}}


Plot y = 2*|2x-4| (red) and y = x - 1.5 (green)